Results 71 to 80 of about 47,929 (192)

Galois Field Instructions in the Sandblaster 2.0 Architectrue

International Journal of Digital Multimedia Broadcasting, 2009
This paper presents a novel approach to implementing multiplication of Galois Fields with 2N. Elements of GF(2N) can be represented as polynomials of degree less than N over GF(2).
Mayan Moudgill, Andrei Iancu, Daniel Iancu   +2 more
doaj   +1 more source

Format-preserving encryption algorithm based on dynamic galois field

Dianxin kexue
Format-preserving encryption (FPE) is characterized by its ability to maintain data format and length post-encryption while adhering to format constraints, rendering it highly applicable for data anonymization purposes. Current FPE schemes are faced with
YUAN Heqing, SHEN Jinshang, WANG Qiang
doaj  

Efficient and Low-Cost Modular Polynomial Multiplier for WSN Security

Journal of Sensor and Actuator Networks
Wireless Sensor Network (WSN) technology has constrained computing resources that require efficient and low-cost cryptographic hardware to provide security services, particularly when dealing with large modular polynomial multiplication in cryptography ...
Fariha Haroon, Hua Li
doaj   +1 more source

The unit group of algebra of circulant matrices [PDF]

International Journal of Group Theory, 2014
Let $Cr_{n}(F)$ denote the algebra of $n times n$ circulant matrices over the field $F$. In this paper, we study the unit group of $Cr_{n}(F_{p^m})$, where $F_{p^m}$ denotes the Galois field of order $p^{m}$, $p$ prime.
Neha Makhijani , 2R. K. Sharma, J. B. Srivastava   +2 more
doaj  

A Novel Image Encryption Technique Based on Cyclic Codes over Galois Field. [PDF]

Comput Intell Neurosci, 2022
Asif M, Asamoah JKK, Hazzazi MM, Alharbi AR, Ashraf MU, Alghamdi AM, Alghamdi AM.   +6 more
europepmc   +1 more source

Three point covers with bad reduction

, 2003
We study Galois covers of the projective line branched at three points with bad reduction to characteristic p, under the condition that p exactly divides the order of the Galois group.
Wewers, Stefan
core  

Computing character degrees via a Galois connection [PDF]

International Journal of Group Theory, 2015
In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
doaj  

Hopf–Galois structures on Galois field extensions of degree pq

Journal of Pure and Applied Algebra, 2004
Let \(L/K\) be a Galois extension of fields with Galois group \(G\) of order \(pq\) where \(p,q\) are primes with \(p\equiv 1 \pmod q\). The author determines all the Hopf Galois structures on \(L/K\). If \(H\) is a \(K\)-Hopf algebra acting on \(L\), then \(L\otimes H\cong KN\) where \(N\) is a group of order \(pq\).
openaire   +1 more source

CONSTRUCTION OF SUBSTITUTION BOX (S-BOX) BASED ON IRREDUCIBLE POLYNOMIALS ON GF(2^8)

Barekeng
In the field of modern encryption algorithms, the creation of S-Box is an essential element that plays an important role in maintaining data security in various industries.
Faldy Tita, Adi Setiawan, Bambang Susanto   +2 more
doaj   +1 more source

Algorithm for Obtaining Complete Irreducible Polynomials over Given Galois Field for New Method of Digital Monitoring of Information Space

Computers
Irreducible polynomials are widely used in modern cryptography; however, algorithms for finding such polynomials remain quite complex and require significant computational resources.
Dina Shaltykova, Aliya Massalimova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source